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  {
   "cell_type": "markdown",
   "id": "d1f20875-c50d-46df-906b-49ec1d0c6002",
   "metadata": {},
   "source": [
    "# 4.6 根据多元线性回归模型预测房价"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c90a18b9-d8e8-431c-856c-35f1e4ed05e1",
   "metadata": {},
   "source": [
    "### 1.任务描述\n",
    "\n",
    "一组房屋面积的数据如下（16个）:\n",
    "\n",
    "137.97,104.50,100.00,124.32,79.20,99.00,124.00,114.00,106.69,138.05,53.75,46.91,68.00,63.02,81.26,86.21。\n",
    "\n",
    "与房屋面积对应的房间数：\n",
    "\n",
    "3,2,2,3,1,2,3,2,2,3,1,1,1,1,2,2\n",
    "\n",
    "与房屋面积对应的售价：\n",
    "\n",
    "145.00,110.00,93.00,116.00,65.32,104.00,118.00,91.00,62.00,133.00,51.00,45.00,78.50,69.65,75.69,95.30\n",
    "\n",
    "要求：\n",
    "\n",
    "- 根据销售记录，以面积为x轴，以房间数为y轴，以价格为z轴，绘制散点图。\n",
    "- 观察散点图，创建数据模型。\n",
    "- 选择损失函数，计算出使损失函数值最小的模型参数，得到模型。\n",
    "- 绘制模型的平面图。\n",
    "- 根据求得的模型，预测90平方米、房间数为2的房屋的价格。"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "8d7baa9c-93a2-42f3-a3c1-231cdb587f2d",
   "metadata": {},
   "source": [
    "### 2.知识准备\n",
    "\n",
    "见教程。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b77a80eb-a596-4410-8b1f-5322e1d141a3",
   "metadata": {},
   "source": [
    "### 3.任务分析\n",
    "\n"
   ]
  },
  {
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    }
   },
   "cell_type": "markdown",
   "id": "de0514a5-6568-421e-afe4-f38d5dc6f93f",
   "metadata": {},
   "source": [
    "1. 选择模型\n",
    "\n",
    "面积-房间数-价格散点图可以使用matplotlib.pyplot.scatter绘制，如图4-6-2所示。\n",
    "\n",
    "![image.png](attachment:55a558c9-d751-4e3c-b6a3-8ad3bd478007.png)\n",
    "\n",
    "图4-6-2  面积-房间数-价格散点图\n",
    "\n",
    "观察图4-6-2可以发现，房屋价格与房屋面积和房间数之间的关系是线性关系，并且有两个自变量和一个因变量，可以选择二元线性回归模型（平面图），其公式如下：\n",
    "\n",
    "$y=w_1x_1+w_2x_2+b$\n",
    "\n",
    "可以通过如下方法，将模型转换为向量形式：\n",
    "\n",
    "令$b=w_0$，$x_0=1$，公式转化为\n",
    "\n",
    "$y=w_0x_0+w_1x_1+w_2x_2$\n",
    "\n",
    "可以写成：\n",
    "\n",
    "$y=\\begin{vmatrix}w_0 &w_1 &w_2\\end{vmatrix}\\times \\begin{vmatrix}x_0 \\\\ x_1 \\\\ x_2\\end{vmatrix}$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c3c335f-4b93-47c4-8475-1b3dc2fab1f9",
   "metadata": {},
   "source": [
    "令$W=(w_0,w_1,w_2)^T$，$X=(x_0,x_1,x_2)^T$，模型可以转换为向量形式：\n",
    "\n",
    "$y=W^TX$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d10475d9-82b5-4eeb-aa50-211d86082bf8",
   "metadata": {},
   "source": [
    "2. 选择损失函数\n",
    "\n",
    "这里选择残差平方和损失函数，公式如下所示：\n",
    "\n",
    "$Loss=\\frac{1}{2}\\sum_{i=1}^{n}(yi-\\hat{y}_i)^2=  \\frac{1}{2}\\sum_{i=1}^{n}(y_i-W^TX_i)^2$\n",
    "\n",
    "式中，i表示第i个样本，n为样本个数，此处n=16；\n",
    "\n",
    "$\\hat{y}_i=W^TX_i$表示第i个样本的预测值；\n",
    "\n",
    "$X_i$表示第i个样本的特征向量，即$X_i=(x_i^0,x_i^1,x_i^2)$；\n",
    "\n",
    "$y_i$表示第i个样本的销售价格。\n",
    "\n",
    "令：\n",
    "\n",
    "$X=(X_1,X_2,...,X_{16})^T$\n",
    "\n",
    "$Y=(y_1,y_2,...,y_{16})^T$\n",
    "\n",
    "损失函数可以转换为：\n",
    "\n",
    "$Loss=(Y-XW)^T(Y-XW)$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "392f3a91-78c7-4208-9596-86ba20294917",
   "metadata": {},
   "source": [
    "3. 求解模型\n",
    "\n",
    "可以通过最小化损失函数来求解向量。损失函数对求偏导，令偏导数等于零，即：\n",
    "\n",
    "$\\frac{\\partial Loss}{\\partial W}=\\frac{\\partial (Y-XW)^T(Y-XW)}{\\partial W}=2X^T(XW-Y)=2X^TXW-2X^TY=0$\n",
    "\n",
    "可以推导出W的解析解为：\n",
    "\n",
    "$W=(X^TX)^{-1}X^TY$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0cd91d88-1bd0-4b6c-8a68-b843c369ca74",
   "metadata": {},
   "source": [
    "4. 绘制拟合平面图\n",
    "\n",
    "以面积为x轴，以房间数为y轴，以价格为z轴，绘制平面图。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a52aec31-7cc7-49e1-9a6d-0c9ed14f7332",
   "metadata": {},
   "source": [
    "5. 预测价格\n",
    "\n",
    "将房屋的面积数据（90平方米）和房间数（2）代入模型，预测房屋价格。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "435c6090-cfda-4f46-a550-22a368e41e4a",
   "metadata": {},
   "source": [
    "### 4.任务实施\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "ec75eb6c-5da3-467d-a471-ca3b47242dd6",
   "metadata": {},
   "source": [
    "执行代码"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2ae9da58-e339-4d22-9f8d-ca255711d89e",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Administrator\\AppData\\Local\\Temp\\ipykernel_10500\\6685876.py:16: MatplotlibDeprecationWarning: Axes3D(fig) adding itself to the figure is deprecated since 3.4. Pass the keyword argument auto_add_to_figure=False and use fig.add_axes(ax) to suppress this warning. The default value of auto_add_to_figure will change to False in mpl3.5 and True values will no longer work in 3.6.  This is consistent with other Axes classes.\n",
      "  ax3d=Axes3D(fig)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tf.Tensor([88.77003803], shape=(1,), dtype=float64)\n"
     ]
    }
   ],
   "source": [
    "import tensorflow as tf  \n",
    "import matplotlib.pyplot as plt  \n",
    "plt.rcParams['font.sans-serif']=['SimHei']\n",
    "from mpl_toolkits.mplot3d import Axes3D  \n",
    "# 1，已知数据\n",
    "# 房屋面积\n",
    "x1=tf.constant([137.97,104.50,100.00,124.32,79.20,99.00,124.00,114.00,106.69,138.05,53.75,46.91,68.00,63.02,81.26,86.21],dtype=tf.float64)  \n",
    "# 房间数\n",
    "x2=tf.constant([3,2,2,3,1,2,3,2,2,3,1,1,1,1,2,2],dtype=tf.float64)\n",
    "# 房屋价格\n",
    "y=tf.constant([145.00,110.00,93.00,116.00,65.32,104.00,118.00,91.00,62.00,133.00,51.00,45.00,78.50,69.65,75.69,95.30],dtype=tf.float64)  \n",
    "# 2，绘制散点图\n",
    "# 创建画布\n",
    "fig=plt.figure(figsize=(6,4))  \n",
    "# 创建3D工具\n",
    "ax3d=Axes3D(fig)\n",
    "# 设置x,y,z轴的名称\n",
    "ax3d.set_xlabel('面积',color='r',fontsize=16)  \n",
    "ax3d.set_ylabel('房间数',color='r',fontsize=16)  \n",
    "ax3d.set_zlabel('价格',color='r',fontsize=16)  \n",
    "ax3d.set_yticks([1,2,3])\n",
    "ax3d.set_zlim3d(30,160)  \n",
    "# 绘制销售记录散点图  \n",
    "ax3d.view_init(elev=45,azim=45)  \n",
    "ax3d.scatter(x1,x2,y,color=\"b\",marker=\"*\")\n",
    "\n",
    "# 3，求解模型\n",
    "# 3.1，构造特征矩阵\n",
    "# 创建全1张量，长度等同于x1和x2\n",
    "x0=tf.ones(len(x1),dtype=tf.float64)  \n",
    "# 通过张量堆叠，构造特征矩阵    \n",
    "X=tf.stack((x0,x1,x2),axis=1)  \n",
    "# print(X)\n",
    "\n",
    "# 3.2，构建标签列向量Y\n",
    "Y=tf.reshape(y,shape=(-1,1))\n",
    "\n",
    "# 3.3，使用解析公式计算模型参数W  \n",
    "# 求X的转置\n",
    "Xt=tf.transpose(X)  \n",
    "# print(Xt)\n",
    "# 矩阵相乘\n",
    "XtX=tf.matmul(Xt,X)  \n",
    "# 矩阵相乘再求逆\n",
    "XtX_1=tf.linalg.inv(XtX)  \n",
    "# 矩阵相乘\n",
    "XtX_1Xt=tf.matmul(XtX_1,Xt)  \n",
    "# 矩阵相乘，求出W\n",
    "W=tf.matmul(XtX_1Xt,Y)  \n",
    "\n",
    "# 4，绘制拟合平面图 \n",
    "# 创建网格点坐标矩阵\n",
    "X1,X2=tf.meshgrid(x1,x2)\n",
    "# 根据参数，计算预测值\n",
    "Y_PRED=W[0]+W[1]*X1+W[2]*X2\n",
    "# 绘制拟合平面图 \n",
    "ax3d.plot_surface(X1,X2,Y_PRED,cmap=\"coolwarm\")  \n",
    "plt.show()\n",
    "# 5，预测价格\n",
    "y_90_2=W[0]*1+W[1]*90.+W[2]*2\n",
    "print(y_90_2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83c999ba-f36f-417e-b6af-bce912fd8fa7",
   "metadata": {},
   "source": [
    "对于面积为90平方米，房间数为2的房屋，预测价格为88.77万元。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "aaabdea4-fad9-4e5a-808b-675de7f73498",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
